EBK ALGEBRA 2
EBK ALGEBRA 2
11th Edition
ISBN: 9780544714304
Author: Larson
Publisher: HMH PUB
Expert Solution & Answer
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Chapter 5.5, Problem 6P
Solution

To determine : Based on the operations under which the set of polynomials with one variable and real coefficients is closed like the set of whole numbers, the set of integers, or the set of rational numbers.

The set of polynomials with one variable and real coefficients is similar to the set of integers and the set of rational numbers on the basis of the operations under which it is closed.

Given information :

The set of polynomials with one variable and real coefficients.

Explanation :

A polynomial is said to be closed in an operation if the resultant of the operation is another polynomial.

The sum of 3x2+2x2 and 5x2+4x7 will be 8x2+6x9 , which is a polynomial.

The difference of 3x2+2x2 and 5x2+4x7 will be 2x22x+5 , which is a polynomial.

The product of 3x2+2x2 and 2x will be 6x3+4x24x , which is a polynomial.

The quotient of 3x3+2x2x4 will be x23x+2 , which is not a polynomial.

Thus, the set of polynomials with one variable and real coefficients are closed in addition, subtraction and multiplication but not in division.

In case of whole numbers, in subtraction the difference can be negative and in division the quotient can be a fraction or decimal. So, the set of whole numbers is closed under addition and multiplication only.

The set of integers and the set of rational expressions are also closed under addition, subtraction and multiplication.

Therefore, the set of polynomials with one variable and real coefficients is like the set of integers and the set of rational numbers on the basis of the operations under which it is closed.

Chapter 5 Solutions

EBK ALGEBRA 2

Ch. 5.1 - Prob. 11GPCh. 5.1 - Prob. 12GPCh. 5.1 - Prob. 13GPCh. 5.1 - Prob. 14GPCh. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10ECh. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - Prob. 18ECh. 5.1 - Prob. 19ECh. 5.1 - Prob. 20ECh. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - Prob. 29ECh. 5.1 - Prob. 30ECh. 5.1 - Prob. 31ECh. 5.1 - Prob. 32ECh. 5.1 - Prob. 33ECh. 5.1 - Prob. 34ECh. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - Prob. 37PSCh. 5.1 - Prob. 38PSCh. 5.1 - Prob. 39PSCh. 5.1 - Prob. 40PSCh. 5.1 - Prob. 41PSCh. 5.1 - Prob. 42PSCh. 5.2 - Prob. 1GPCh. 5.2 - Prob. 2GPCh. 5.2 - Prob. 3GPCh. 5.2 - Prob. 4GPCh. 5.2 - Prob. 5GPCh. 5.2 - Prob. 6GPCh. 5.2 - Prob. 7GPCh. 5.2 - Prob. 1ECh. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - Prob. 14ECh. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - Prob. 17ECh. 5.2 - Prob. 18ECh. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37PSCh. 5.2 - Prob. 38PSCh. 5.2 - Prob. 39PSCh. 5.2 - Prob. 40PSCh. 5.2 - Prob. 41PSCh. 5.2 - Prob. 42PSCh. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.2 - Prob. 1.1PCh. 5.2 - Prob. 1.2PCh. 5.2 - Prob. 1.3PCh. 5.2 - Prob. 1.4PCh. 5.2 - Prob. 1.5PCh. 5.2 - Prob. 1.6PCh. 5.2 - Prob. 1.7PCh. 5.2 - Prob. 1.8PCh. 5.2 - Prob. 1.9PCh. 5.2 - Prob. 1.10PCh. 5.3 - Prob. 1GPCh. 5.3 - Prob. 2GPCh. 5.3 - Prob. 3GPCh. 5.3 - Prob. 4GPCh. 5.3 - Prob. 5GPCh. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.3 - Prob. 7ECh. 5.3 - Prob. 8ECh. 5.3 - Prob. 9ECh. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Prob. 18ECh. 5.3 - Prob. 19ECh. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Prob. 27ECh. 5.3 - Prob. 28ECh. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - Prob. 31PSCh. 5.3 - Prob. 32PSCh. 5.3 - Prob. 33PSCh. 5.3 - Prob. 34PSCh. 5.3 - Prob. 35PSCh. 5.3 - Prob. 36PSCh. 5.3 - Prob. 1QCh. 5.3 - Prob. 2QCh. 5.3 - Prob. 3QCh. 5.3 - Prob. 4QCh. 5.3 - Prob. 5QCh. 5.3 - Prob. 6QCh. 5.3 - Prob. 7QCh. 5.3 - Prob. 8QCh. 5.3 - Prob. 9QCh. 5.3 - Prob. 10QCh. 5.3 - Prob. 11QCh. 5.3 - Prob. 1MRPSCh. 5.3 - Prob. 2MRPSCh. 5.3 - Prob. 3MRPSCh. 5.3 - Prob. 4MRPSCh. 5.3 - Prob. 5MRPSCh. 5.3 - Prob. 6MRPSCh. 5.3 - Prob. 7MRPSCh. 5.3 - Prob. 8MRPSCh. 5.4 - Prob. 1GPCh. 5.4 - Prob. 2GPCh. 5.4 - Prob. 3GPCh. 5.4 - Prob. 4GPCh. 5.4 - Prob. 5GPCh. 5.4 - Prob. 6GPCh. 5.4 - Prob. 7GPCh. 5.4 - Prob. 8GPCh. 5.4 - Prob. 9GPCh. 5.4 - Prob. 10GPCh. 5.4 - Prob. 11GPCh. 5.4 - Prob. 12GPCh. 5.4 - Prob. 1ECh. 5.4 - Prob. 2ECh. 5.4 - Prob. 3ECh. 5.4 - Prob. 4ECh. 5.4 - Prob. 5ECh. 5.4 - Prob. 6ECh. 5.4 - Prob. 7ECh. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - Prob. 10ECh. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.4 - Prob. 13ECh. 5.4 - Prob. 14ECh. 5.4 - Prob. 15ECh. 5.4 - Prob. 16ECh. 5.4 - Prob. 17ECh. 5.4 - Prob. 18ECh. 5.4 - Prob. 19ECh. 5.4 - Prob. 20ECh. 5.4 - Prob. 21ECh. 5.4 - Prob. 22ECh. 5.4 - Prob. 23ECh. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Prob. 27ECh. 5.4 - Prob. 28ECh. 5.4 - Prob. 29ECh. 5.4 - Prob. 30ECh. 5.4 - Prob. 31ECh. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - Prob. 34ECh. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Prob. 37ECh. 5.4 - Prob. 38ECh. 5.4 - Prob. 39ECh. 5.4 - Prob. 40ECh. 5.4 - Prob. 41ECh. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.4 - Prob. 45ECh. 5.4 - Prob. 46ECh. 5.4 - Prob. 47ECh. 5.4 - Prob. 48PSCh. 5.4 - Prob. 49PSCh. 5.4 - Prob. 50PSCh. 5.4 - Prob. 51PSCh. 5.4 - Prob. 52PSCh. 5.4 - Prob. 53PSCh. 5.4 - Prob. 1PCh. 5.4 - Prob. 2PCh. 5.4 - Prob. 3PCh. 5.4 - Prob. 4PCh. 5.4 - Prob. 5PCh. 5.4 - Prob. 6PCh. 5.5 - Prob. 1GPCh. 5.5 - Prob. 2GPCh. 5.5 - Prob. 3GPCh. 5.5 - Prob. 4GPCh. 5.5 - Prob. 5GPCh. 5.5 - Prob. 6GPCh. 5.5 - Prob. 7GPCh. 5.5 - Prob. 8GPCh. 5.5 - Prob. 9GPCh. 5.5 - Prob. 10GPCh. 5.5 - Prob. 11GPCh. 5.5 - Prob. 12GPCh. 5.5 - Prob. 13GPCh. 5.5 - Prob. 1ECh. 5.5 - Prob. 2ECh. 5.5 - Prob. 3ECh. 5.5 - Prob. 4ECh. 5.5 - Prob. 5ECh. 5.5 - Prob. 6ECh. 5.5 - Prob. 7ECh. 5.5 - Prob. 8ECh. 5.5 - Prob. 9ECh. 5.5 - Prob. 10ECh. 5.5 - Prob. 11ECh. 5.5 - Prob. 12ECh. 5.5 - Prob. 13ECh. 5.5 - Prob. 14ECh. 5.5 - Prob. 15ECh. 5.5 - Prob. 16ECh. 5.5 - Prob. 17ECh. 5.5 - Prob. 18ECh. 5.5 - Prob. 19ECh. 5.5 - Prob. 20ECh. 5.5 - Prob. 21ECh. 5.5 - Prob. 22ECh. 5.5 - Prob. 23ECh. 5.5 - Prob. 24ECh. 5.5 - Prob. 25ECh. 5.5 - Prob. 26ECh. 5.5 - Prob. 27ECh. 5.5 - Prob. 28ECh. 5.5 - Prob. 29ECh. 5.5 - Prob. 30ECh. 5.5 - Prob. 31ECh. 5.5 - Prob. 32ECh. 5.5 - Prob. 33ECh. 5.5 - Prob. 34ECh. 5.5 - Prob. 35ECh. 5.5 - Prob. 36ECh. 5.5 - Prob. 37ECh. 5.5 - Prob. 38ECh. 5.5 - Prob. 39ECh. 5.5 - Prob. 40ECh. 5.5 - Prob. 41PSCh. 5.5 - Prob. 42PSCh. 5.5 - Prob. 43PSCh. 5.5 - Prob. 44PSCh. 5.5 - Prob. 45PSCh. 5.5 - Prob. 1PCh. 5.5 - Prob. 2PCh. 5.5 - Prob. 3PCh. 5.5 - Prob. 4PCh. 5.5 - Prob. 5PCh. 5.5 - Prob. 6PCh. 5.5 - Prob. 7PCh. 5.6 - Prob. 1GPCh. 5.6 - Prob. 2GPCh. 5.6 - Prob. 3GPCh. 5.6 - Prob. 4GPCh. 5.6 - Prob. 5GPCh. 5.6 - Prob. 6GPCh. 5.6 - Prob. 7GPCh. 5.6 - Prob. 8GPCh. 5.6 - Prob. 9GPCh. 5.6 - Prob. 10GPCh. 5.6 - Prob. 11GPCh. 5.6 - Prob. 1ECh. 5.6 - Prob. 2ECh. 5.6 - Prob. 3ECh. 5.6 - Prob. 4ECh. 5.6 - Prob. 5ECh. 5.6 - Prob. 6ECh. 5.6 - Prob. 7ECh. 5.6 - Prob. 8ECh. 5.6 - Prob. 9ECh. 5.6 - Prob. 10ECh. 5.6 - Prob. 11ECh. 5.6 - Prob. 12ECh. 5.6 - Prob. 13ECh. 5.6 - Prob. 14ECh. 5.6 - Prob. 15ECh. 5.6 - Prob. 16ECh. 5.6 - Prob. 17ECh. 5.6 - Prob. 18ECh. 5.6 - Prob. 19ECh. 5.6 - Prob. 20ECh. 5.6 - Prob. 21ECh. 5.6 - Prob. 22ECh. 5.6 - Prob. 23ECh. 5.6 - Prob. 24ECh. 5.6 - Prob. 25ECh. 5.6 - Prob. 26ECh. 5.6 - Prob. 27ECh. 5.6 - Prob. 28ECh. 5.6 - Prob. 29ECh. 5.6 - Prob. 30ECh. 5.6 - Prob. 31ECh. 5.6 - Prob. 32ECh. 5.6 - Prob. 33PSCh. 5.6 - Prob. 34PSCh. 5.6 - Prob. 35PSCh. 5.6 - Prob. 36PSCh. 5.6 - Prob. 37PSCh. 5.6 - Prob. 38PSCh. 5.6 - Prob. 1QCh. 5.6 - Prob. 2QCh. 5.6 - Prob. 3QCh. 5.6 - Prob. 4QCh. 5.6 - Prob. 5QCh. 5.6 - Prob. 6QCh. 5.6 - Prob. 7QCh. 5.6 - Prob. 8QCh. 5.6 - Prob. 9QCh. 5.6 - Prob. 10QCh. 5.6 - Prob. 11QCh. 5.6 - Prob. 12QCh. 5.6 - Prob. 13QCh. 5.6 - Prob. 14QCh. 5.6 - Prob. 1PCh. 5.6 - Prob. 2PCh. 5.6 - Prob. 3PCh. 5.6 - Prob. 4PCh. 5.6 - Prob. 5PCh. 5.6 - Prob. 6PCh. 5.6 - Prob. 7PCh. 5.6 - Prob. 1.1PCh. 5.6 - Prob. 1.2PCh. 5.6 - Prob. 1.3PCh. 5.6 - Prob. 1.4PCh. 5.6 - Prob. 1.5PCh. 5.6 - Prob. 1.6PCh. 5.6 - Prob. 1.7PCh. 5.6 - Prob. 1.8PCh. 5.6 - Prob. 1.9PCh. 5.6 - Prob. 1.10PCh. 5.6 - Prob. 1.11PCh. 5.6 - Prob. 1.12PCh. 5.6 - Prob. 1.13PCh. 5.6 - Prob. 1.14PCh. 5.6 - Prob. 1.15PCh. 5.6 - Prob. 1.16PCh. 5.6 - Prob. 1.17PCh. 5.6 - Prob. 1.18PCh. 5.6 - Prob. 1.19PCh. 5.6 - Prob. 1.20PCh. 5.6 - Prob. 1.21PCh. 5.6 - Prob. 1.22PCh. 5.7 - Prob. 1GPCh. 5.7 - Prob. 2GPCh. 5.7 - Prob. 3GPCh. 5.7 - Prob. 4GPCh. 5.7 - Prob. 5GPCh. 5.7 - Prob. 1ECh. 5.7 - Prob. 2ECh. 5.7 - Prob. 3ECh. 5.7 - Prob. 4ECh. 5.7 - Prob. 5ECh. 5.7 - Prob. 6ECh. 5.7 - Prob. 7ECh. 5.7 - Prob. 8ECh. 5.7 - Prob. 9ECh. 5.7 - Prob. 10ECh. 5.7 - Prob. 11ECh. 5.7 - Prob. 12ECh. 5.7 - Prob. 13ECh. 5.7 - Prob. 14ECh. 5.7 - Prob. 15ECh. 5.7 - Prob. 16ECh. 5.7 - Prob. 17ECh. 5.7 - Prob. 18ECh. 5.7 - Prob. 19ECh. 5.7 - Prob. 20ECh. 5.7 - Prob. 21ECh. 5.7 - Prob. 22ECh. 5.7 - Prob. 23ECh. 5.7 - Prob. 24ECh. 5.7 - Prob. 25ECh. 5.7 - Prob. 26PSCh. 5.7 - Prob. 27PSCh. 5.7 - Prob. 28PSCh. 5.7 - Prob. 29PSCh. 5.7 - Prob. 30PSCh. 5.7 - Prob. 31PSCh. 5.7 - Prob. 32PSCh. 5.7 - Prob. 1QCh. 5.7 - Prob. 2QCh. 5.7 - Prob. 3QCh. 5.7 - Prob. 4QCh. 5.7 - Prob. 5QCh. 5.7 - Prob. 1MRPSCh. 5.7 - Prob. 2MRPSCh. 5.7 - Prob. 3MRPSCh. 5.7 - Prob. 4MRPSCh. 5.7 - Prob. 5MRPSCh. 5.7 - Prob. 6MRPSCh. 5.7 - Prob. 7MRPSCh. 5 - Prob. 1VECh. 5 - Prob. 2VECh. 5 - Prob. 3VECh. 5 - Prob. 4VECh. 5 - Prob. 5VECh. 5 - Prob. 6REAECh. 5 - Prob. 7REAECh. 5 - Prob. 8REAECh. 5 - Prob. 9REAECh. 5 - Prob. 10REAECh. 5 - Prob. 11REAECh. 5 - Prob. 12REAECh. 5 - Prob. 13REAECh. 5 - Prob. 14REAECh. 5 - Prob. 15REAECh. 5 - Prob. 16REAECh. 5 - Prob. 17REAECh. 5 - Prob. 18REAECh. 5 - Prob. 19REAECh. 5 - Prob. 20REAECh. 5 - Prob. 21REAECh. 5 - Prob. 22REAECh. 5 - Prob. 23REAECh. 5 - Prob. 24REAECh. 5 - Prob. 25REAECh. 5 - Prob. 26REAECh. 5 - Prob. 27REAECh. 5 - Prob. 28REAECh. 5 - Prob. 29REAECh. 5 - Prob. 30REAECh. 5 - Prob. 31REAECh. 5 - Prob. 32REAECh. 5 - Prob. 33REAECh. 5 - Prob. 1TCh. 5 - Prob. 2TCh. 5 - Prob. 3TCh. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Prob. 7TCh. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - Prob. 10TCh. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - Prob. 14TCh. 5 - Prob. 15TCh. 5 - Prob. 16TCh. 5 - Prob. 17TCh. 5 - Prob. 18TCh. 5 - Prob. 19TCh. 5 - Prob. 20TCh. 5 - Prob. 21TCh. 5 - Prob. 22TCh. 5 - Prob. 23TCh. 5 - Prob. 24TCh. 5 - Prob. 25TCh. 5 - Prob. 26TCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 1TPCh. 5 - Prob. 2TPCh. 5 - Prob. 3TPCh. 5 - Prob. 4TPCh. 5 - Prob. 5TPCh. 5 - Prob. 6TPCh. 5 - Prob. 7TPCh. 5 - Prob. 8TPCh. 5 - Prob. 9TPCh. 5 - Prob. 10TPCh. 5 - Prob. 11TPCh. 5 - Prob. 12TPCh. 5 - Prob. 13TPCh. 5 - Prob. 14TPCh. 5 - Prob. 15TPCh. 5 - Prob. 16TPCh. 5 - Prob. 17TP
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